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Abstract
Hadron decay chains constitute one of the main sources of information on the QCD spectrum. We discuss the differences between several partial wave analysis formalisms used in the literature to build the amplitudes. We match the helicity amplitudes to the covariant tensor basis. Hereby, we pay attention to the analytical properties of the amplitudes and separate singularities of kinematical and dynamical nature. We study the analytical properties of the spin-orbit (LS) formalism, and some of the covariant tensor approaches. In particular, we explicitly build the amplitudes for the B -> psi pi K and B -> D pi pi decays, and show that the energy dependence of the covariant approach is model dependent. We also show that the usual recursive construction of covariant tensors explicitly violates crossing symmetry, which would lead to different resonance parameters extracted from scattering and decay processes.
Keywords
HELICITY AMPLITUDES, KINEMATICAL SINGULARITIES, SCATTERING, DECAY, SPIN, TENSORS

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Chicago
Mikhasenko, M, A Pilloni, Jannes Nys, M Albaladejo, C Fernández-Ramírez, A Jackura, V Mathieu, N Sherrill, T Skwarnicki, and AP Szczepaniak. 2018. “What Is the Right Formalism to Search for Resonances?” European Physical Journal C 78 (3).
APA
Mikhasenko, M., Pilloni, A., Nys, J., Albaladejo, M., Fernández-Ramírez, C., Jackura, A., Mathieu, V., et al. (2018). What is the right formalism to search for resonances? EUROPEAN PHYSICAL JOURNAL C, 78(3).
Vancouver
1.
Mikhasenko M, Pilloni A, Nys J, Albaladejo M, Fernández-Ramírez C, Jackura A, et al. What is the right formalism to search for resonances? EUROPEAN PHYSICAL JOURNAL C. 2018;78(3).
MLA
Mikhasenko, M, A Pilloni, Jannes Nys, et al. “What Is the Right Formalism to Search for Resonances?” EUROPEAN PHYSICAL JOURNAL C 78.3 (2018): n. pag. Print.
@article{8557332,
  abstract     = {Hadron decay chains constitute one of the main sources of information on the QCD spectrum. We discuss the differences between several partial wave analysis formalisms used in the literature to build the amplitudes. We match the helicity amplitudes to the covariant tensor basis. Hereby, we pay attention to the analytical properties of the amplitudes and separate singularities of kinematical and dynamical nature. We study the analytical properties of the spin-orbit (LS) formalism, and some of the covariant tensor approaches. In particular, we explicitly build the amplitudes for the B -{\textrangle} psi pi K and B -{\textrangle} D pi pi decays, and show that the energy dependence of the covariant approach is model dependent. We also show that the usual recursive construction of covariant tensors explicitly violates crossing symmetry, which would lead to different resonance parameters extracted from scattering and decay processes.},
  articleno    = {229},
  author       = {Mikhasenko, M and Pilloni, A and Nys, Jannes and Albaladejo, M and Fern{\'a}ndez-Ram{\'i}rez, C and Jackura, A and Mathieu, V and Sherrill, N and Skwarnicki, T and Szczepaniak, AP},
  issn         = {1434-6044},
  journal      = {EUROPEAN PHYSICAL JOURNAL C},
  keyword      = {HELICITY AMPLITUDES,KINEMATICAL SINGULARITIES,SCATTERING,DECAY,SPIN,TENSORS},
  language     = {eng},
  number       = {3},
  pages        = {12},
  title        = {What is the right formalism to search for resonances?},
  url          = {http://dx.doi.org/10.1140/epjc/s10052-018-5670-y},
  volume       = {78},
  year         = {2018},
}

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